Robust H fuzzy controller for uncertain nonlinear systems with time-varying delayed state

Taek Ryong Kim, Jin Bae Park, Young Hoon Joo

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

This paper addresses a robust H stabilization problem to uncertain nonlinear systems with time-varying delayed state via fuzzy static output feedback. We employ the Takagi-Sugeno (T-S) fuzzy model to represent the nonlinear system in both continuous-time and discrete-time cases. Sufficient conditions, which are in the format of bilinear matrix inequalities (BMI)s, are derived for robust stabilization and disturbance attenuation of the closed-loop fuzzy control system in both cases. Then, the BMIs are converted to linear matrix inequalities (LMI)s through some manipulations. The effectiveness of the proposed controller design methodology is demonstrated through a numerical simulation.

Original languageEnglish
Title of host publicationFuzzy Systems and Knowledge Discovery - Third International Conference, FSKD 2006, Proceedings
PublisherSpringer Verlag
Pages21-30
Number of pages10
Volume4223 LNAI
ISBN (Print)3540459162, 9783540459163
Publication statusPublished - 2006 Jan 1
Event3rd International Conference on Fuzzy Systems and Knowledge Discovery, FSKD 2006 - Xi'an, China
Duration: 2006 Sep 242006 Sep 28

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume4223 LNAI
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Other

Other3rd International Conference on Fuzzy Systems and Knowledge Discovery, FSKD 2006
CountryChina
CityXi'an
Period06/9/2406/9/28

Fingerprint

Uncertain Nonlinear Systems
Fuzzy Controller
Matrix Inequality
Nonlinear systems
Time-varying
Stabilization
Static Output Feedback
Controllers
Disturbance Attenuation
Robust Stabilization
Takagi-Sugeno Fuzzy Model
Closed-loop Control
Fuzzy control
Fuzzy Control
Linear matrix inequalities
Controller Design
Fuzzy Systems
Design Methodology
Continuous Time
Manipulation

All Science Journal Classification (ASJC) codes

  • Computer Science(all)
  • Theoretical Computer Science

Cite this

Kim, T. R., Park, J. B., & Joo, Y. H. (2006). Robust H fuzzy controller for uncertain nonlinear systems with time-varying delayed state. In Fuzzy Systems and Knowledge Discovery - Third International Conference, FSKD 2006, Proceedings (Vol. 4223 LNAI, pp. 21-30). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 4223 LNAI). Springer Verlag.
Kim, Taek Ryong ; Park, Jin Bae ; Joo, Young Hoon. / Robust H fuzzy controller for uncertain nonlinear systems with time-varying delayed state. Fuzzy Systems and Knowledge Discovery - Third International Conference, FSKD 2006, Proceedings. Vol. 4223 LNAI Springer Verlag, 2006. pp. 21-30 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).
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abstract = "This paper addresses a robust H∞ stabilization problem to uncertain nonlinear systems with time-varying delayed state via fuzzy static output feedback. We employ the Takagi-Sugeno (T-S) fuzzy model to represent the nonlinear system in both continuous-time and discrete-time cases. Sufficient conditions, which are in the format of bilinear matrix inequalities (BMI)s, are derived for robust stabilization and disturbance attenuation of the closed-loop fuzzy control system in both cases. Then, the BMIs are converted to linear matrix inequalities (LMI)s through some manipulations. The effectiveness of the proposed controller design methodology is demonstrated through a numerical simulation.",
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Kim, TR, Park, JB & Joo, YH 2006, Robust H fuzzy controller for uncertain nonlinear systems with time-varying delayed state. in Fuzzy Systems and Knowledge Discovery - Third International Conference, FSKD 2006, Proceedings. vol. 4223 LNAI, Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 4223 LNAI, Springer Verlag, pp. 21-30, 3rd International Conference on Fuzzy Systems and Knowledge Discovery, FSKD 2006, Xi'an, China, 06/9/24.

Robust H fuzzy controller for uncertain nonlinear systems with time-varying delayed state. / Kim, Taek Ryong; Park, Jin Bae; Joo, Young Hoon.

Fuzzy Systems and Knowledge Discovery - Third International Conference, FSKD 2006, Proceedings. Vol. 4223 LNAI Springer Verlag, 2006. p. 21-30 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 4223 LNAI).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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N2 - This paper addresses a robust H∞ stabilization problem to uncertain nonlinear systems with time-varying delayed state via fuzzy static output feedback. We employ the Takagi-Sugeno (T-S) fuzzy model to represent the nonlinear system in both continuous-time and discrete-time cases. Sufficient conditions, which are in the format of bilinear matrix inequalities (BMI)s, are derived for robust stabilization and disturbance attenuation of the closed-loop fuzzy control system in both cases. Then, the BMIs are converted to linear matrix inequalities (LMI)s through some manipulations. The effectiveness of the proposed controller design methodology is demonstrated through a numerical simulation.

AB - This paper addresses a robust H∞ stabilization problem to uncertain nonlinear systems with time-varying delayed state via fuzzy static output feedback. We employ the Takagi-Sugeno (T-S) fuzzy model to represent the nonlinear system in both continuous-time and discrete-time cases. Sufficient conditions, which are in the format of bilinear matrix inequalities (BMI)s, are derived for robust stabilization and disturbance attenuation of the closed-loop fuzzy control system in both cases. Then, the BMIs are converted to linear matrix inequalities (LMI)s through some manipulations. The effectiveness of the proposed controller design methodology is demonstrated through a numerical simulation.

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Kim TR, Park JB, Joo YH. Robust H fuzzy controller for uncertain nonlinear systems with time-varying delayed state. In Fuzzy Systems and Knowledge Discovery - Third International Conference, FSKD 2006, Proceedings. Vol. 4223 LNAI. Springer Verlag. 2006. p. 21-30. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).